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arXiv · 1902.01230

On generalized stochastic fractional integrals and related inequalities

Hüseyin Budak·Mehmet Zeki Sarikaya
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Abstract

The generalized mean-square fractional integrals $\mathcal{J}_{\rho,\lambda,u+;\omega}^{\sigma}$ and $\mathcal{J}_{\rho,\lambda,v-;\omega}^{\sigma}$ of the stochastic process $X$ are introduced. Then, for Jensen-convex and strongly convex stochastic proceses, the generalized fractional Hermite--Hadamard inequality is establish via generalized stochastic fractional integrals.

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Hüseyin Budak, Mehmet Zeki Sarikaya. 2019-02-04. On generalized stochastic fractional integrals and related inequalities. https://doi.org/10.15559/18-vmsta117

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